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خطواتين", "probability": 0.87626953125}, {"start": 311.46, "end": 312.38, "word": " الخطوة", "probability": 0.8746337890625}, {"start": 312.38, "end": 312.72, "word": " الأولى", "probability": 0.951171875}, {"start": 312.72, "end": 313.64, "word": " استبدلنا", "probability": 0.8594970703125}, {"start": 313.64, "end": 314.06, "word": " كل", "probability": 0.9541015625}, {"start": 314.06, "end": 314.74, "word": " عنصر", "probability": 0.9757486979166666}, {"start": 314.74, "end": 315.02, "word": " بالـ", "probability": 0.54571533203125}, {"start": 315.02, "end": 315.6, "word": " cofactor", "probability": 0.6402180989583334}, {"start": 315.6, "end": 316.14, "word": " تبعه", "probability": 0.913330078125}, {"start": 316.14, "end": 316.92, "word": " خطوة", "probability": 0.811279296875}, {"start": 316.92, "end": 317.24, "word": " ثانية", "probability": 0.95458984375}, {"start": 317.24, "end": 317.52, "word": " جيبنا", "probability": 0.8929443359375}, {"start": 317.52, "end": 317.62, "word": " ل", "probability": 0.58203125}, {"start": 317.62, "end": 318.38, "word": " Transpose", "probability": 0.58111572265625}, {"start": 318.38, "end": 318.7, "word": " ل", "probability": 0.931640625}, {"start": 318.7, "end": 319.72, "word": " المصوفة", "probability": 0.91064453125}, {"start": 319.72, "end": 320.52, "word": " الناتجة", "probability": 0.9210205078125}, {"start": 320.52, "end": 321.22, "word": " بقيت", "probability": 0.8186848958333334}, {"start": 321.22, "end": 321.56, "word": " علينا", "probability": 0.96728515625}, {"start": 321.56, "end": 322.22, "word": " الخطوة", "probability": 0.94140625}], "temperature": 1.0}, {"id": 15, "seek": 33764, "start": 323.08, "end": 337.64, "text": "مش هجيب الخطوة الأخيرة بلزمني محدد المصوفة إيه، إذا بروح بقوله بدي أجيبله determinant للمصوفة إيه، يبقى هذه الخطوة الأولى و هذه الخطوة التانية يا بنات", "tokens": [2304, 8592, 8032, 7435, 1829, 3555, 33962, 9566, 2407, 3660, 16247, 9778, 48923, 4724, 1211, 11622, 2304, 22653, 3714, 24401, 3215, 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{"start": 326.64, "end": 327.86, "word": " المصوفة", "probability": 0.94287109375}, {"start": 327.86, "end": 328.62, "word": " إيه،", "probability": 0.680908203125}, {"start": 328.62, "end": 328.86, "word": " إذا", "probability": 0.8544921875}, {"start": 328.86, "end": 329.26, "word": " بروح", "probability": 0.9558919270833334}, {"start": 329.26, "end": 329.76, "word": " بقوله", "probability": 0.8382161458333334}, {"start": 329.76, "end": 330.14, "word": " بدي", "probability": 0.777587890625}, {"start": 330.14, "end": 330.92, "word": " أجيبله", "probability": 0.83359375}, {"start": 330.92, "end": 331.92, "word": " determinant", "probability": 0.85498046875}, {"start": 331.92, "end": 333.92, "word": " للمصوفة", "probability": 0.944921875}, {"start": 333.92, "end": 334.66, "word": " إيه،", "probability": 0.8800048828125}, {"start": 334.66, "end": 335.04, "word": " يبقى", "probability": 0.95849609375}, {"start": 335.04, "end": 335.22, "word": " هذه", "probability": 0.484619140625}, 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{"start": 343.94, "end": 344.2, "word": " لإيه", "probability": 0.914306640625}, {"start": 344.2, "end": 345.4, "word": " الأصلية؟", "probability": 0.832275390625}, {"start": 345.4, "end": 345.72, "word": " 1", "probability": 0.300048828125}, {"start": 345.72, "end": 346.2, "word": " 3", "probability": 0.58544921875}, {"start": 346.2, "end": 347.52, "word": "-1", "probability": 0.4533538818359375}, {"start": 347.52, "end": 348.38, "word": " 0", "probability": 0.440185546875}, {"start": 348.38, "end": 348.88, "word": " 1", "probability": 0.73486328125}, {"start": 348.88, "end": 349.56, "word": " 2", "probability": 0.900390625}, {"start": 349.56, "end": 350.98, "word": "-1", "probability": 0.360198974609375}, {"start": 350.98, "end": 351.88, "word": " 0", "probability": 0.92236328125}, {"start": 351.88, "end": 352.86, "word": " 8", "probability": 0.96484375}, {"start": 352.86, "end": 353.76, "word": " بالشكل", "probability": 0.90185546875}, {"start": 353.76, "end": 353.9, "word": " 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{"start": 405.2, "end": 405.48, "word": " اللي", "probability": 0.530517578125}, {"start": 405.48, "end": 406.12, "word": " طلعت", "probability": 0.9676106770833334}, {"start": 406.12, "end": 406.58, "word": " اللي", "probability": 0.54345703125}, {"start": 406.58, "end": 406.82, "word": " هي", "probability": 0.89697265625}, {"start": 406.82, "end": 407.84, "word": " تمانية", "probability": 0.8684895833333334}, {"start": 407.84, "end": 408.42, "word": " سالب", "probability": 0.87841796875}, {"start": 408.42, "end": 408.84, "word": " اربعة", "probability": 0.7477213541666666}, {"start": 408.84, "end": 409.68, "word": " وعشرين", "probability": 0.9222412109375}, {"start": 409.68, "end": 410.76, "word": " سبعة", "probability": 0.83837890625}, {"start": 410.76, "end": 411.96, "word": " ناقص", "probability": 0.9176025390625}, {"start": 411.96, "end": 412.68, "word": " اتنين", "probability": 0.977783203125}, {"start": 412.68, "end": 413.7, "word": " سبعة", "probability": 0.8556315104166666}, {"start": 413.7, "end": 414.66, "word": " ناقص", "probability": 0.9931640625}, {"start": 414.66, "end": 415.24, "word": " اتنين", "probability": 0.990234375}, {"start": 415.24, "end": 416.0, "word": " واحد", "probability": 0.960205078125}, {"start": 416.0, "end": 417.02, "word": " ناقص", "probability": 0.9886474609375}, {"start": 417.02, "end": 417.96, "word": " تلاتة", "probability": 0.9210205078125}, {"start": 417.96, "end": 418.9, "word": " واحد", "probability": 0.98583984375}, {"start": 418.9, "end": 419.44, "word": " بالشكل", "probability": 0.9479166666666666}, {"start": 419.44, "end": 419.62, "word": " اللي", "probability": 0.95751953125}, {"start": 419.62, "end": 419.94, "word": " عندنا", "probability": 0.8857421875}], "temperature": 1.0}, {"id": 20, "seek": 43699, "start": 420.15, "end": 436.99, "text": "طبعا هذه هي نفسها الهمين تمانية سالب اربعة وعشرين سابعة سالب اتنين سابعة سالب اتنين واحد لبتلاتة واحدة", "tokens": [9566, 3555, 3615, 995, 29538, 39896, 8717, 36178, 11296, 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438.33, "end": 460.27, "text": "الطلاعيل في النتيجة هذه والنتيجة اللى أوجدناها في المحاضرة السابقة الاتنين are the same يبقى نفس النتيجة بالحرف الوعيد إذا سواء استخدمت الطريقة الأولى في إيجاد معكوس المصوفة أو استخدمت الطريقة الثانية في إيجاد معكوس المصوفة الاتنين are the same تمام؟", "tokens": [6027, 9566, 15040, 3615, 26895, 8978, 28239, 31371, 7435, 3660, 29538, 16070, 29399, 1829, 7435, 3660, 13672, 7578, 5551, 29245, 3215, 8315, 11296, 8978, 9673, 5016, 46958, 25720, 21136, 16758, 28671, 2423, 9307, 1863, 9957, 366, 264, 912, 7251, 3555, 4587, 7578, 8717, 36178, 28239, 31371, 7435, 3660, 20666, 5016, 28480, 2423, 45367, 25708, 11933, 15730, 8608, 2407, 16606, 44713, 9778, 40448, 2655, 41950, 16572, 28671, 16247, 12610, 7578, 8978, 11933, 1829, 7435, 18513, 20449, 4117, 41779, 9673, 9381, 38688, 3660, 34051, 44713, 9778, 40448, 2655, 41950, 16572, 28671, 6024, 104, 7649, 10632, 8978, 11933, 1829, 7435, 18513, 20449, 4117, 41779, 9673, 9381, 38688, 3660, 2423, 9307, 1863, 9957, 366, 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"word": " transpose", "probability": 0.55322265625}, {"start": 1035.05, "end": 1035.31, "word": " هو", "probability": 0.814453125}, {"start": 1035.31, "end": 1035.73, "word": " A", "probability": 0.828125}, {"start": 1035.73, "end": 1036.81, "word": " transpose", "probability": 0.7939453125}, {"start": 1036.81, "end": 1037.53, "word": " inverse", "probability": 0.88916015625}, {"start": 1037.53, "end": 1038.89, "word": " تمام؟", "probability": 0.5782063802083334}, {"start": 1038.89, "end": 1039.35, "word": " بنقوله", "probability": 0.58734130859375}, {"start": 1039.35, "end": 1039.93, "word": " بسيطة", "probability": 0.9572265625}, {"start": 1039.93, "end": 1040.37, "word": " احنا", "probability": 0.816650390625}, {"start": 1040.37, "end": 1040.91, "word": " عندنا", "probability": 0.783447265625}, {"start": 1040.91, "end": 1041.17, "word": " ال", "probability": 0.818359375}, {"start": 1041.17, "end": 1041.77, "word": " A", "probability": 0.483154296875}], "temperature": 1.0}, {"id": 47, "seek": 105097, "start": 1042.55, "end": 1050.97, "text": "is non-singular يبقى هذا أيش معناه يا بنات؟ ان ال a inverse exist", "tokens": [271, 2107, 12, 82, 278, 1040, 7251, 3555, 4587, 7578, 23758, 36632, 8592, 20449, 8315, 3224, 35186, 4724, 8315, 2655, 22807, 16472, 2423, 257, 17340, 2514], "avg_logprob": -0.37557870149612427, "compression_ratio": 0.9891304347826086, "no_speech_prob": 0.0, "words": [{"start": 1042.55, "end": 1043.27, "word": "is", "probability": 0.4150390625}, {"start": 1043.27, "end": 1044.57, "word": " non", "probability": 0.8388671875}, {"start": 1044.57, "end": 1045.83, "word": "-singular", "probability": 0.74468994140625}, {"start": 1045.83, "end": 1046.65, "word": " يبقى", "probability": 0.74859619140625}, {"start": 1046.65, "end": 1046.85, "word": " هذا", "probability": 0.46240234375}, {"start": 1046.85, "end": 1047.11, "word": " أيش", "probability": 0.7183837890625}, {"start": 1047.11, "end": 1047.41, "word": " معناه", "probability": 0.8880208333333334}, {"start": 1047.41, "end": 1047.51, "word": " يا", "probability": 0.966796875}, {"start": 1047.51, "end": 1048.11, "word": " بنات؟", "probability": 0.78326416015625}, {"start": 1048.11, "end": 1049.17, "word": " ان", "probability": 0.56982421875}, {"start": 1049.17, "end": 1049.31, "word": " ال", "probability": 0.78564453125}, {"start": 1049.31, "end": 1049.73, "word": " a", "probability": 0.18798828125}, {"start": 1049.73, "end": 1050.45, "word": " inverse", "probability": 0.80908203125}, {"start": 1050.45, "end": 1050.97, "word": " exist", "probability": 0.73291015625}], "temperature": 1.0}, {"id": 48, "seek": 107865, "start": 1052.83, "end": 1078.65, "text": "أو الـ determinant للـ A اللي لا يساوي 0 يقبل A inverse exist مدام A inverse exist هذا معناه ايش ان ال A في ال A inverse بده يساوي ال identity matrix and ال A inverse في ال A كمان بده يساوي ال identity matrix مظبوط؟", "tokens": [10721, 2407, 2423, 39184, 41296, 24976, 39184, 316, 13672, 1829, 20193, 7251, 3794, 995, 45865, 1958, 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1069.11, "word": " identity", "probability": 0.87939453125}, {"start": 1069.11, "end": 1070.19, "word": " matrix", "probability": 0.9677734375}, {"start": 1070.19, "end": 1071.21, "word": " and", "probability": 0.6240234375}, {"start": 1071.21, "end": 1071.75, "word": " ال", "probability": 0.93115234375}, {"start": 1071.75, "end": 1072.21, "word": " A", "probability": 0.9892578125}, {"start": 1072.21, "end": 1073.07, "word": " inverse", "probability": 0.87744140625}, {"start": 1073.07, "end": 1073.31, "word": " في", "probability": 0.970703125}, {"start": 1073.31, "end": 1073.57, "word": " ال", "probability": 0.9453125}, {"start": 1073.57, "end": 1073.83, "word": " A", "probability": 0.982421875}, {"start": 1073.83, "end": 1074.41, "word": " كمان", "probability": 0.9833984375}, {"start": 1074.41, "end": 1074.77, "word": " بده", "probability": 0.96484375}, {"start": 1074.77, "end": 1075.03, "word": " يساوي", "probability": 0.98681640625}, {"start": 1075.03, "end": 1075.17, "word": " ال", "probability": 0.9716796875}, {"start": 1075.17, "end": 1075.69, "word": " identity", "probability": 0.9345703125}, {"start": 1075.69, "end": 1076.45, "word": " matrix", "probability": 0.96484375}, {"start": 1076.45, "end": 1078.65, "word": " مظبوط؟", "probability": 0.898193359375}], "temperature": 1.0}, {"id": 49, "seek": 109513, "start": 1079.15, "end": 1095.13, "text": "طب احنا موضوعنا موضوعش اللي مطلوب الـ Transpose إذا بدي أروح أدخل ال Transpose في الموضوع معناه أنني بدي أخد ال Transpose للطرفين يقول لو أخدت ال Transpose عندنا هنا إيش بصير؟", "tokens": [9566, 3555, 1975, 5016, 8315, 3714, 2407, 11242, 45367, 8315, 3714, 2407, 11242, 45367, 8592, 13672, 1829, 3714, 9566, 1211, 37746, 2423, 39184, 6531, 43501, 11933, 15730, 4724, 16254, 5551, 32887, 5016, 5551, 3215, 9778, 1211, 2423, 6531, 43501, 8978, 9673, 2407, 11242, 45367, 20449, 8315, 3224, 14739, 22653, 4724, 16254, 5551, 9778, 3215, 2423, 6531, 43501, 24976, 9566, 28480, 9957, 7251, 39648, 45164, 5551, 9778, 3215, 2655, 2423, 6531, 43501, 43242, 8315, 34105, 11933, 1829, 8592, 4724, 9381, 13546, 22807], "avg_logprob": -0.253620421014181, "compression_ratio": 1.76875, "no_speech_prob": 0.0, "words": [{"start": 1079.15, "end": 1079.45, "word": "طب", "probability": 0.494110107421875}, {"start": 1079.45, "end": 1079.69, "word": " احنا", "probability": 0.9010416666666666}, {"start": 1079.69, "end": 1080.21, "word": " موضوعنا", "probability": 0.9482421875}, {"start": 1080.21, "end": 1080.87, "word": " موضوعش", "probability": 0.79951171875}, {"start": 1080.87, "end": 1081.07, "word": " اللي", "probability": 0.907470703125}, {"start": 1081.07, "end": 1081.87, "word": " مطلوب", "probability": 0.9427490234375}, {"start": 1081.87, "end": 1082.21, "word": " الـ", "probability": 0.3658447265625}, {"start": 1082.21, "end": 1083.33, "word": " Transpose", "probability": 0.703857421875}, {"start": 1083.33, "end": 1084.39, "word": " إذا", "probability": 0.731689453125}, {"start": 1084.39, "end": 1084.83, "word": " بدي", "probability": 0.748779296875}, {"start": 1084.83, "end": 1085.27, "word": " أروح", "probability": 0.8924153645833334}, {"start": 1085.27, "end": 1085.79, "word": " أدخل", "probability": 0.9425048828125}, {"start": 1085.79, "end": 1085.93, "word": " ال", "probability": 0.5498046875}, {"start": 1085.93, "end": 1086.53, "word": " Transpose", "probability": 0.745849609375}, {"start": 1086.53, "end": 1086.65, "word": " في", "probability": 0.78564453125}, {"start": 1086.65, "end": 1087.11, "word": " الموضوع", "probability": 0.9964599609375}, {"start": 1087.11, "end": 1087.35, "word": " معناه", "probability": 0.6261393229166666}, {"start": 1087.35, "end": 1087.49, "word": " أنني", "probability": 0.350341796875}, {"start": 1087.49, "end": 1087.73, "word": " بدي", "probability": 0.81884765625}, {"start": 1087.73, "end": 1088.09, "word": " أخد", "probability": 0.796875}, {"start": 1088.09, "end": 1088.23, "word": " ال", "probability": 0.90234375}, {"start": 1088.23, "end": 1089.41, 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يعطيكي أن الـ A في الـ A inverse transpose بده يساوي الآية transpose and الـ A inverse A transpose بده يساوي الآية transpose", "tokens": [3224, 15730, 47525, 11703, 1829, 37495, 9566, 1829, 4117, 1829, 14739, 2423, 39184, 316, 8978, 2423, 39184, 316, 17340, 25167, 47525, 3224, 7251, 3794, 995, 45865, 6024, 95, 10632, 25167, 293, 2423, 39184, 316, 17340, 316, 25167, 47525, 3224, 7251, 3794, 995, 45865, 6024, 95, 10632, 25167], "avg_logprob": -0.29996743860344094, "compression_ratio": 1.796116504854369, "no_speech_prob": 0.0, "words": [{"start": 1095.37, "end": 1095.89, "word": "هذا", "probability": 0.90283203125}, {"start": 1095.89, "end": 1096.35, "word": " بدّي", "probability": 0.3662109375}, {"start": 1096.35, "end": 1097.13, "word": " يعطيكي", "probability": 0.92734375}, {"start": 1097.13, "end": 1097.51, "word": " أن", "probability": 0.4072265625}, {"start": 1097.51, "end": 1098.03, "word": " الـ", "probability": 0.4810791015625}, {"start": 1098.03, "end": 1098.33, "word": " A", 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" A", "probability": 0.96435546875}, {"start": 1106.69, "end": 1107.51, "word": " inverse", "probability": 0.88037109375}, {"start": 1107.51, "end": 1107.95, "word": " A", "probability": 0.923828125}, {"start": 1107.95, "end": 1109.13, "word": " transpose", "probability": 0.810546875}, {"start": 1109.13, "end": 1109.99, "word": " بده", "probability": 0.97265625}, {"start": 1109.99, "end": 1110.43, "word": " يساوي", "probability": 0.9754638671875}, {"start": 1110.43, "end": 1111.11, "word": " الآية", "probability": 0.9728190104166666}, {"start": 1111.11, "end": 1111.89, "word": " transpose", "probability": 0.7919921875}], "temperature": 1.0}, {"id": 51, "seek": 113891, "start": 1113.73, "end": 1138.91, "text": "طيب هذا معناهم أظن أخدنا لو كان عندي حاصل ضرب A في B Transpose بيصير B Transpose A Transpose نجلبها يبقى بناء عليه بدهاجي هادي و أجلبهاش بيصير عندنا A Inverse Transpose في ال A Transpose بده يساوي مصفوفتي اللي واحدة اللي همجيبها ال Transpose ده بقى", "tokens": [9566, 1829, 3555, 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inverse transpose بده يسوى مين؟ بده يسوى مصفوفة الوحدة", "tokens": [3224, 24192, 3714, 9381, 5172, 38688, 3660, 2423, 2407, 24401, 3660, 37037, 24192, 3714, 9381, 5172, 38688, 3660, 2423, 2407, 24401, 3660, 9673, 3615, 8315, 3224, 3660, 4032, 5016, 36520, 48812, 25513, 2423, 9307, 1863, 9957, 8032, 3215, 12610, 366, 2681, 7251, 3555, 4587, 7578, 23758, 20449, 8315, 3224, 16472, 2423, 316, 17340, 25167, 8978, 2423, 316, 25167, 47525, 3224, 7251, 3794, 2407, 7578, 316, 25167, 8978, 2423, 316, 17340, 25167, 47525, 3224, 7251, 3794, 2407, 7578, 3714, 9957, 22807, 47525, 3224, 7251, 3794, 2407, 7578, 3714, 9381, 5172, 38688, 3660, 2423, 2407, 24401, 3660], "avg_logprob": -0.23600260339056453, "compression_ratio": 2.011904761904762, "no_speech_prob": 0.0, "words": [{"start": 1161.42, "end": 1162.02, "word": "هذه", "probability": 0.74951171875}, {"start": 1162.02, "end": 1162.58, "word": " مصفوفة", "probability": 0.83515625}, {"start": 1162.58, "end": 1162.94, "word": " الوحدة", 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"probability": 0.477294921875}, {"start": 1365.67, "end": 1366.55, "word": " المعكوس", "probability": 0.857421875}, {"start": 1366.55, "end": 1366.97, "word": " تبع", "probability": 0.8893229166666666}, {"start": 1366.97, "end": 1367.81, "word": " المصوفة", "probability": 0.808837890625}, {"start": 1367.81, "end": 1368.03, "word": " c", "probability": 0.798828125}, {"start": 1368.03, "end": 1368.65, "word": " هو", "probability": 0.96337890625}, {"start": 1368.65, "end": 1368.89, "word": " ال", "probability": 0.64404296875}, {"start": 1368.89, "end": 1369.13, "word": " b", "probability": 0.71142578125}, {"start": 1369.13, "end": 1369.87, "word": " inverse", "probability": 0.84326171875}, {"start": 1369.87, "end": 1370.15, "word": " في", "probability": 0.88037109375}, {"start": 1370.15, "end": 1370.41, "word": " ال", "probability": 0.68603515625}, {"start": 1370.41, "end": 1370.77, "word": " a", "probability": 0.91650390625}, {"start": 1370.77, "end": 1371.51, "word": " inverse", "probability": 0.873046875}, {"start": 1371.51, "end": 1372.25, "word": " طب", "probability": 0.52392578125}, {"start": 1372.25, "end": 1372.45, "word": " هو", "probability": 0.97265625}, {"start": 1372.45, "end": 1372.81, "word": " قال", "probability": 0.89404296875}, {"start": 1372.81, "end": 1373.29, "word": " هل", "probability": 0.727294921875}, {"start": 1373.29, "end": 1373.45, "word": " ال", "probability": 0.95458984375}, {"start": 1373.45, "end": 1373.73, "word": " a", "probability": 0.9267578125}, {"start": 1373.73, "end": 1373.99, "word": " b", "probability": 0.3642578125}, {"start": 1373.99, "end": 1374.33, "word": " لها", "probability": 0.9658203125}, {"start": 1374.33, "end": 1375.07, "word": " معكوس", "probability": 0.9059244791666666}], "temperature": 1.0}, {"id": 62, "seek": 140401, "start": 1377.23, "end": 1404.01, "text": "ماجاليش انا بدي اثبت ان الها معكوس وبعدين اروح اثبت ان المعكوس هذا بيساوي بعضه صح ولا لا بقوله بسيطة جدا اذا انا بدي اجي لل solution بدي اجي للمعطيات ال a and ال b are non singular هذا ايش معناه يا بنات", "tokens": [2304, 26108, 6027, 1829, 8592, 1975, 8315, 4724, 16254, 1975, 12984, 3555, 2655, 16472, 2423, 11296, 20449, 4117, 41779, 46599, 22488, 9957, 1975, 32887, 5016, 1975, 12984, 3555, 2655, 16472, 9673, 3615, 4117, 41779, 23758, 4724, 1829, 3794, 995, 45865, 45030, 11242, 3224, 20328, 5016, 49429, 20193, 4724, 39648, 3224, 4724, 3794, 1829, 9566, 3660, 10874, 28259, 1975, 15730, 1975, 8315, 4724, 16254, 1975, 7435, 1829, 24976, 3827, 4724, 16254, 1975, 7435, 1829, 5296, 19528, 3615, 9566, 1829, 9307, 2423, 257, 293, 2423, 272, 366, 2107, 20010, 23758, 1975, 1829, 8592, 20449, 8315, 3224, 35186, 4724, 8315, 2655], "avg_logprob": -0.23248105669262434, "compression_ratio": 1.8010752688172043, "no_speech_prob": 0.0, "words": [{"start": 1377.2300000000002, "end": 1378.3100000000002, "word": "ماجاليش", "probability": 0.56142578125}, {"start": 1378.3100000000002, "end": 1379.39, "word": " انا", "probability": 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تمام؟ هذا معناته إيش؟ معناته إن الـ A في B is non singular", "tokens": [3224, 15730, 2423, 39184, 41296, 24976, 39184, 316, 6156, 6027, 39184, 41296, 24976, 39184, 363, 13672, 1829, 47525, 3224, 7251, 3794, 995, 45865, 2423, 39184, 41296, 24976, 39184, 316, 8978, 363, 20193, 7251, 3794, 995, 45865, 17182, 46811, 10943, 22807, 23758, 20449, 8315, 47395, 11933, 1829, 8592, 22807, 20449, 8315, 47395, 36145, 2423, 39184, 316, 8978, 363, 307, 2107, 20010], "avg_logprob": -0.2994364793183374, "compression_ratio": 1.7050359712230216, "no_speech_prob": 0.0, "words": [{"start": 1439.27, "end": 1441.03, "word": "هذا", "probability": 0.779541015625}, {"start": 1441.03, "end": 1441.17, "word": " الـ", "probability": 0.304443359375}, {"start": 1441.17, "end": 1441.81, "word": " determinant", "probability": 0.78564453125}, {"start": 1441.81, "end": 1442.65, "word": " للـ", "probability": 0.791259765625}, {"start": 1442.65, "end": 1442.87, "word": " A", "probability": 0.50732421875}, {"start": 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1448.25, "end": 1448.59, "word": " B", "probability": 0.8017578125}, {"start": 1448.59, "end": 1449.45, "word": " لا", "probability": 0.64013671875}, {"start": 1449.45, "end": 1450.15, "word": " يساوي", "probability": 0.936767578125}, {"start": 1450.15, "end": 1450.55, "word": " Zero", "probability": 0.337158203125}, {"start": 1450.55, "end": 1451.73, "word": " تمام؟", "probability": 0.5580240885416666}, {"start": 1451.73, "end": 1452.01, "word": " هذا", "probability": 0.794921875}, {"start": 1452.01, "end": 1452.55, "word": " معناته", "probability": 0.9090169270833334}, {"start": 1452.55, "end": 1453.29, "word": " إيش؟", "probability": 0.7608642578125}, {"start": 1453.29, "end": 1453.95, "word": " معناته", "probability": 0.962890625}, {"start": 1453.95, "end": 1454.47, "word": " إن", "probability": 0.5498046875}, {"start": 1454.47, "end": 1455.01, "word": " الـ", "probability": 0.861572265625}, {"start": 1455.01, "end": 1455.39, "word": " A", "probability": 0.833984375}, {"start": 1455.39, "end": 1455.79, "word": " في", "probability": 0.9677734375}, {"start": 1455.79, "end": 1456.21, "word": " B", "probability": 0.984375}, {"start": 1456.21, "end": 1457.09, "word": " is", "probability": 0.85888671875}, {"start": 1457.09, "end": 1458.09, "word": " non", "probability": 0.71044921875}, {"start": 1458.09, "end": 1459.41, "word": " singular", "probability": 0.5576171875}], "temperature": 1.0}, {"id": 66, "seek": 146887, "start": 1460.43, "end": 1468.87, "text": "هذا معناته أن الـ A B إنفرس exist", "tokens": [3224, 15730, 20449, 8315, 47395, 14739, 2423, 39184, 316, 363, 11933, 1863, 5172, 2288, 3794, 2514], "avg_logprob": -0.47150735294117646, "compression_ratio": 0.8253968253968254, "no_speech_prob": 0.0, "words": [{"start": 1460.43, "end": 1462.03, "word": "هذا", "probability": 0.7568359375}, {"start": 1462.03, "end": 1462.97, "word": " معناته", "probability": 0.92041015625}, {"start": 1462.97, "end": 1464.67, "word": " أن", "probability": 0.419677734375}, 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هنا نفس الجثة كل واحد علمت على اسم هنا بنادر كله تمام طيب", "tokens": [2304, 8592, 11331, 36520, 48812, 25513, 257, 4724, 1829, 5296, 28820, 1145, 43501, 4724, 7435, 1829, 8315, 8717, 39648, 4724, 1829, 1145, 43501, 8978, 2423, 257, 1145, 43501, 7251, 3555, 4587, 7578, 34105, 8717, 36178, 25724, 12984, 3660, 28242, 36764, 24401, 11203, 2304, 2655, 15844, 24525, 2304, 34105, 4724, 8315, 3215, 2288, 28242, 3224, 46811, 10943, 23032, 1829, 3555], "avg_logprob": -0.38072916915019356, "compression_ratio": 1.49645390070922, "no_speech_prob": 0.0, "words": [{"start": 1496.62, "end": 1496.82, "word": "مش", "probability": 0.707275390625}, {"start": 1496.82, "end": 1497.14, "word": " حصل", "probability": 0.951171875}, {"start": 1497.14, "end": 1497.42, "word": " ضرب", "probability": 0.985107421875}, {"start": 1497.42, "end": 1497.62, "word": " a", "probability": 0.419677734375}, {"start": 1497.62, "end": 1497.86, "word": " بي", "probability": 0.524658203125}, {"start": 1497.86, "end": 1498.16, 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"seek": 153566, "start": 1509.64, "end": 1535.66, "text": "نرجع الان نجي نشوف صحة هذا الكلام لو انا جيت اخدت ال a,b في ال a,b او a في ده في اخده في مين في ال b inverse a inverse اللي قايل عليه هذا طيب هذا الكلام بده يساوي", "tokens": [1863, 47341, 3615, 2423, 7649, 8717, 7435, 1829, 8717, 8592, 38688, 20328, 5016, 3660, 23758, 2423, 28820, 10943, 45164, 1975, 8315, 10874, 36081, 1975, 9778, 3215, 2655, 2423, 257, 11, 65, 8978, 2423, 257, 11, 65, 1975, 2407, 257, 8978, 11778, 3224, 8978, 1975, 9778, 3215, 3224, 8978, 3714, 9957, 8978, 2423, 272, 17340, 257, 17340, 13672, 1829, 12174, 995, 26895, 47356, 23758, 23032, 1829, 3555, 23758, 2423, 28820, 10943, 47525, 3224, 7251, 3794, 995, 45865], "avg_logprob": -0.315949661391122, "compression_ratio": 1.696774193548387, "no_speech_prob": 0.0, "words": [{"start": 1509.64, "end": 1510.3, "word": "نرجع", "probability": 0.6695149739583334}, {"start": 1510.3, "end": 1510.68, "word": " الان", "probability": 0.60015869140625}, {"start": 1510.68, 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"end": 1589.09, "word": " inverse", "probability": 0.82568359375}, {"start": 1589.09, "end": 1590.19, "word": " AB", "probability": 0.86083984375}], "temperature": 1.0}, {"id": 72, "seek": 160574, "start": 1592.04, "end": 1605.74, "text": "معكوس المصوفة في المصوفة الـ Identity Matrix يبقى B inverse IB يعني B inverse B يعني الـ Identity Matrix", "tokens": [2304, 3615, 4117, 41779, 9673, 9381, 38688, 3660, 8978, 9673, 9381, 38688, 3660, 2423, 39184, 25905, 507, 36274, 7251, 3555, 4587, 7578, 363, 17340, 40385, 37495, 22653, 363, 17340, 363, 37495, 22653, 2423, 39184, 25905, 507, 36274], "avg_logprob": -0.3404605192573447, "compression_ratio": 1.4742268041237114, "no_speech_prob": 0.0, "words": [{"start": 1592.04, "end": 1592.72, "word": "معكوس", "probability": 0.76287841796875}, {"start": 1592.72, "end": 1593.4, "word": " المصوفة", "probability": 0.72869873046875}, {"start": 1593.4, "end": 1593.5, "word": " في", "probability": 0.873046875}, {"start": 1593.5, "end": 1594.1, "word": " المصوفة", "probability": 0.9730224609375}, {"start": 1594.1, "end": 1596.24, "word": " الـ", "probability": 0.5264892578125}, {"start": 1596.24, "end": 1596.7, "word": " Identity", "probability": 0.6859130859375}, {"start": 1596.7, "end": 1597.34, "word": " Matrix", "probability": 0.9248046875}, {"start": 1597.34, "end": 1598.1, "word": " يبقى", "probability": 0.76593017578125}, {"start": 1598.1, "end": 1598.42, "word": " B", "probability": 0.3935546875}, {"start": 1598.42, "end": 1599.36, "word": " inverse", "probability": 0.23583984375}, {"start": 1599.36, "end": 1600.24, "word": " IB", "probability": 0.399658203125}, {"start": 1600.24, "end": 1601.36, "word": " يعني", "probability": 0.889404296875}, {"start": 1601.36, "end": 1601.84, "word": " B", "probability": 0.818359375}, {"start": 1601.84, "end": 1602.92, "word": " inverse", "probability": 0.86767578125}, {"start": 1602.92, "end": 1603.48, "word": " B", "probability": 0.9384765625}, {"start": 1603.48, "end": 1604.02, "word": " يعني", "probability": 0.9306640625}, {"start": 1604.02, "end": 1604.3, "word": " الـ", "probability": 0.6416015625}, {"start": 1604.3, "end": 1605.22, "word": " Identity", "probability": 0.90283203125}, {"start": 1605.22, "end": 1605.74, "word": " Matrix", "probability": 0.98388671875}], "temperature": 1.0}, {"id": 73, "seek": 162742, "start": 1606.38, "end": 1627.42, "text": "إذا من الاتنين هدول، إيش بنستنتج يا بنات؟ بنستنتج إن الـAB في الـB inverse A inverse بدو يساوي الـB inverse A inverse في الـAB في الـAB بدو يساوي 100", "tokens": [28814, 15730, 9154, 2423, 9307, 1863, 9957, 8032, 3215, 12610, 12399, 11933, 1829, 8592, 44945, 14851, 29399, 7435, 35186, 4724, 8315, 2655, 22807, 44945, 14851, 29399, 7435, 36145, 2423, 39184, 13868, 8978, 2423, 39184, 33, 17340, 316, 17340, 47525, 2407, 7251, 3794, 995, 45865, 2423, 39184, 33, 17340, 316, 17340, 8978, 2423, 39184, 13868, 8978, 2423, 39184, 13868, 47525, 2407, 7251, 3794, 995, 45865, 2319], "avg_logprob": -0.26941287923942914, "compression_ratio": 1.7615384615384615, "no_speech_prob": 0.0, "words": [{"start": 1606.38, "end": 1606.82, "word": "إذا", "probability": 0.674072265625}, {"start": 1606.82, "end": 1607.1, "word": " من", "probability": 0.86962890625}, {"start": 1607.1, "end": 1607.9, "word": " الاتنين", "probability": 0.8277587890625}, {"start": 1607.9, "end": 1608.92, "word": " هدول،", "probability": 0.62164306640625}, {"start": 1608.92, "end": 1609.18, "word": " إيش", "probability": 0.76416015625}, {"start": 1609.18, "end": 1609.88, "word": " بنستنتج", "probability": 0.94970703125}, {"start": 1609.88, "end": 1610.0, "word": " يا", "probability": 0.970703125}, {"start": 1610.0, "end": 1611.0, "word": " بنات؟", "probability": 0.8739013671875}, {"start": 1611.0, "end": 1612.02, "word": " بنستنتج", "probability": 0.9158935546875}, {"start": 1612.02, "end": 1612.48, "word": " إن", "probability": 0.60205078125}, {"start": 1612.48, "end": 1613.96, "word": " الـAB", "probability": 0.541748046875}, {"start": 1613.96, "end": 1614.9, "word": " في", "probability": 0.70751953125}, {"start": 1614.9, "end": 1615.58, "word": " الـB", "probability": 0.76708984375}, {"start": 1615.58, "end": 1616.52, "word": " inverse", "probability": 0.388427734375}, {"start": 1616.52, "end": 1617.06, "word": " A", "probability": 0.7919921875}, {"start": 1617.06, "end": 1617.9, "word": " inverse", "probability": 0.88623046875}, {"start": 1617.9, "end": 1618.84, "word": " بدو", "probability": 0.3448486328125}, {"start": 1618.84, "end": 1619.32, "word": " يساوي", "probability": 0.7840576171875}, {"start": 1619.32, "end": 1619.96, "word": " الـB", "probability": 0.9127604166666666}, {"start": 1619.96, "end": 1620.9, "word": " inverse", "probability": 0.90234375}, {"start": 1620.9, "end": 1621.5, "word": " A", "probability": 0.98876953125}, {"start": 1621.5, "end": 1622.4, "word": " inverse", "probability": 0.84228515625}, {"start": 1622.4, "end": 1623.02, "word": " في", "probability": 0.9619140625}, {"start": 1623.02, "end": 1624.08, "word": " الـAB", "probability": 0.9384765625}, {"start": 1624.08, "end": 1625.7, "word": " في", "probability": 0.6201171875}, {"start": 1625.7, "end": 1626.34, "word": " الـAB", "probability": 0.9501953125}, {"start": 1626.34, "end": 1626.7, "word": " بدو", "probability": 0.89111328125}, {"start": 1626.7, "end": 1627.04, "word": " يساوي", "probability": 0.9810791015625}, {"start": 1627.04, "end": 1627.42, "word": " 100", "probability": 0.414306640625}], "temperature": 1.0}, {"id": 74, "seek": 165501, "start": 1628.67, "end": 1655.01, "text": "يبقى معناته كل واحدة فيهم معكس للتانية هذا معناه ان ال b inverse a inverse is the inverse of a في b صح ولا لأ but the inverse of", "tokens": [1829, 3555, 4587, 7578, 20449, 8315, 47395, 28242, 36764, 24401, 3660, 8978, 16095, 20449, 4117, 3794, 24976, 2655, 7649, 10632, 23758, 20449, 8315, 3224, 16472, 2423, 272, 17340, 257, 17340, 307, 264, 17340, 295, 257, 8978, 272, 20328, 5016, 49429, 5296, 10721, 457, 264, 17340, 295], "avg_logprob": -0.2220744661828305, "compression_ratio": 1.4031007751937985, "no_speech_prob": 0.0, "words": [{"start": 1628.67, "end": 1629.15, "word": "يبقى", "probability": 0.886474609375}, {"start": 1629.15, "end": 1629.85, "word": " معناته", "probability": 0.9773763020833334}, {"start": 1629.85, "end": 1630.31, "word": " كل", "probability": 0.85009765625}, {"start": 1630.31, "end": 1630.89, "word": " واحدة", "probability": 0.9690755208333334}, {"start": 1630.89, "end": 1631.29, "word": " فيهم", "probability": 0.88134765625}, {"start": 1631.29, "end": 1631.91, "word": " معكس", "probability": 0.7005208333333334}, {"start": 1631.91, "end": 1632.73, "word": " للتانية", "probability": 0.9071044921875}, {"start": 1632.73, "end": 1633.63, "word": " هذا", "probability": 0.8974609375}, {"start": 1633.63, "end": 1634.53, "word": " معناه", "probability": 0.96630859375}, {"start": 1634.53, "end": 1635.61, "word": " ان", "probability": 0.646484375}, {"start": 1635.61, "end": 1635.99, "word": " ال", "probability": 0.86328125}, {"start": 1635.99, "end": 1636.33, "word": " b", "probability": 0.1993408203125}, {"start": 1636.33, "end": 1637.39, "word": " inverse", "probability": 0.861328125}, {"start": 1637.39, "end": 1637.95, "word": " a", "probability": 0.67431640625}, {"start": 1637.95, "end": 1638.83, "word": " inverse", "probability": 0.8486328125}, {"start": 1638.83, "end": 1639.61, "word": " is", "probability": 0.8349609375}, {"start": 1639.61, "end": 1640.77, "word": " the", "probability": 0.80859375}, {"start": 1640.77, "end": 1642.65, "word": " inverse", "probability": 0.87060546875}, {"start": 1642.65, "end": 1643.95, "word": " of", "probability": 0.97314453125}, {"start": 1643.95, "end": 1645.03, "word": " a", "probability": 0.55419921875}, {"start": 1645.03, "end": 1645.19, "word": " في", "probability": 0.306396484375}, {"start": 1645.19, "end": 1645.49, "word": " b", "probability": 0.9248046875}, {"start": 1645.49, "end": 1647.13, "word": " صح", "probability": 0.956787109375}, {"start": 1647.13, "end": 1647.39, "word": " ولا", "probability": 0.96923828125}, {"start": 1647.39, "end": 1647.99, "word": " لأ", "probability": 0.772705078125}, {"start": 1647.99, "end": 1648.95, "word": " but", "probability": 0.325927734375}, {"start": 1648.95, "end": 1651.15, "word": " the", "probability": 0.85546875}, {"start": 1651.15, "end": 1653.03, "word": " inverse", "probability": 0.78369140625}, {"start": 1653.03, "end": 1655.01, "word": " of", "probability": 0.98681640625}], "temperature": 1.0}, {"id": 75, "seek": 166862, "start": 1657.1, "end": 1668.62, "text": "A B is denoted by A B الكل انفر", "tokens": [32, 363, 307, 1441, 23325, 538, 316, 363, 2423, 28820, 16472, 5172, 2288], "avg_logprob": -0.5493861394269126, "compression_ratio": 0.8863636363636364, "no_speech_prob": 0.0, "words": [{"start": 1657.1, "end": 1658.5, "word": "A", "probability": 0.1561279296875}, {"start": 1658.5, "end": 1659.5, "word": " B", "probability": 0.27392578125}, {"start": 1659.5, "end": 1660.86, "word": " is", "probability": 0.5166015625}, {"start": 1660.86, "end": 1662.6, "word": " denoted", "probability": 0.959716796875}, {"start": 1662.6, "end": 1664.74, "word": " by", "probability": 0.96875}, {"start": 1664.74, "end": 1666.36, "word": " A", "probability": 0.6787109375}, {"start": 1666.36, "end": 1666.84, "word": " B", "probability": 0.63671875}, {"start": 1666.84, "end": 1668.0, "word": " الكل", "probability": 0.7294921875}, {"start": 1668.0, "end": 1668.62, "word": " انفر", "probability": 0.7537434895833334}], "temperature": 1.0}, {"id": 76, "seek": 169718, "start": 1671.92, "end": 1697.18, "text": "و قبل شوية في المحاضرة الصحيفة أثبتنا نظرية أن ال inverse يكون واحدا إذا هذا هو التاني يبقى but the inverse of a b is denoted by كذا and the inverse of a matrix is", "tokens": [2407, 12174, 36150, 13412, 2407, 10632, 8978, 9673, 5016, 46958, 25720, 31767, 5016, 33911, 3660, 5551, 12984, 3555, 2655, 8315, 8717, 19913, 2288, 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"probability": 0.975341796875}, {"start": 1675.3, "end": 1675.66, "word": " أن", "probability": 0.420166015625}, {"start": 1675.66, "end": 1675.86, "word": " ال", "probability": 0.736328125}, {"start": 1675.86, "end": 1676.34, "word": " inverse", "probability": 0.59765625}, {"start": 1676.34, "end": 1676.98, "word": " يكون", "probability": 0.9658203125}, {"start": 1676.98, "end": 1677.96, "word": " واحدا", "probability": 0.7843424479166666}, {"start": 1677.96, "end": 1678.88, "word": " إذا", "probability": 0.669921875}, {"start": 1678.88, "end": 1679.38, "word": " هذا", "probability": 0.84228515625}, {"start": 1679.38, "end": 1679.72, "word": " هو", "probability": 0.978515625}, {"start": 1679.72, "end": 1680.56, "word": " التاني", "probability": 0.9200846354166666}, {"start": 1680.56, "end": 1681.88, "word": " يبقى", "probability": 0.943603515625}, {"start": 1681.88, "end": 1682.26, "word": " but", "probability": 0.6865234375}, {"start": 1682.26, "end": 1682.5, "word": " the", "probability": 0.60205078125}, {"start": 1682.5, "end": 1682.94, "word": " inverse", "probability": 0.8779296875}, {"start": 1682.94, "end": 1683.28, "word": " of", "probability": 0.9677734375}, {"start": 1683.28, "end": 1683.58, "word": " a", "probability": 0.509765625}, {"start": 1683.58, "end": 1683.76, "word": " b", "probability": 0.280029296875}, {"start": 1683.76, "end": 1684.0, "word": " is", "probability": 0.876953125}, {"start": 1684.0, "end": 1684.38, "word": " denoted", "probability": 0.93896484375}, {"start": 1684.38, "end": 1684.82, "word": " by", "probability": 0.95703125}, {"start": 1684.82, "end": 1685.26, "word": " كذا", "probability": 0.834228515625}, {"start": 1685.26, "end": 1686.48, "word": " and", "probability": 0.88232421875}, {"start": 1686.48, "end": 1687.5, "word": " the", "probability": 0.8515625}, {"start": 1687.5, "end": 1689.36, "word": " inverse", "probability": 0.8603515625}, {"start": 1689.36, "end": 1692.74, "word": " of", "probability": 0.95654296875}, {"start": 1692.74, "end": 1693.92, "word": " a", "probability": 0.97216796875}, {"start": 1693.92, "end": 1694.98, "word": " matrix", "probability": 0.95703125}, {"start": 1694.98, "end": 1697.18, "word": " is", "probability": 0.95068359375}], "temperature": 1.0}, {"id": 77, "seek": 170972, "start": 1698.08, "end": 1709.72, "text": "يكون هناك يكون وحيداً هذا بدي يعطينا ان ال a b الكل inverse بدي يسوى b inverse a inverse", "tokens": [1829, 30544, 34105, 4117, 7251, 30544, 4032, 5016, 25708, 995, 14111, 23758, 4724, 16254, 37495, 9566, 1829, 8315, 16472, 2423, 257, 272, 2423, 28820, 17340, 4724, 16254, 7251, 3794, 2407, 7578, 272, 17340, 257, 17340], "avg_logprob": -0.4952256712648604, "compression_ratio": 1.33, "no_speech_prob": 0.0, "words": [{"start": 1698.08, "end": 1698.72, "word": "يكون", "probability": 0.5401611328125}, {"start": 1698.72, "end": 1699.06, "word": " هناك", "probability": 0.65966796875}, {"start": 1699.06, "end": 1699.54, "word": " يكون", "probability": 0.514190673828125}, {"start": 1699.54, "end": 1700.98, "word": " وحيداً", "probability": 0.7541015625}, {"start": 1700.98, "end": 1701.3, "word": " هذا", "probability": 0.3427734375}, {"start": 1701.3, "end": 1701.68, "word": " بدي", "probability": 0.2449951171875}, {"start": 1701.68, "end": 1702.36, "word": " يعطينا", "probability": 0.9434814453125}, {"start": 1702.36, "end": 1702.66, "word": " ان", "probability": 0.62060546875}, {"start": 1702.66, "end": 1702.94, "word": " ال", "probability": 0.85693359375}, {"start": 1702.94, "end": 1703.42, "word": " a", "probability": 0.305908203125}, {"start": 1703.42, "end": 1703.94, "word": " b", "probability": 0.376953125}, {"start": 1703.94, "end": 1705.08, "word": " الكل", "probability": 0.7047119140625}, {"start": 1705.08, "end": 1705.82, "word": " inverse", "probability": 0.71142578125}, {"start": 1705.82, "end": 1706.22, "word": " بدي", "probability": 0.8623046875}, {"start": 1706.22, "end": 1706.78, "word": " يسوى", "probability": 0.67132568359375}, {"start": 1706.78, "end": 1707.3, "word": " b", "probability": 0.54541015625}, {"start": 1707.3, "end": 1708.34, "word": " inverse", "probability": 0.85546875}, {"start": 1708.34, "end": 1708.84, "word": " a", "probability": 0.90087890625}, {"start": 1708.84, "end": 1709.72, "word": " inverse", "probability": 0.8623046875}], "temperature": 1.0}, {"id": 78, "seek": 173596, "start": 1713.32, "end": 1735.96, "text": "هتحين لما تكون هذه الـC بده يساوي الـAB قال لي اثبتلي ان الـC inverse يساوي كذا، مظبوط؟ الحين الـC inverse بده يساوي مين؟ AB inverse يبقى هذا بده يعطينا ان الـC inverse بده يساوي B inverse A inverse عظم ما هو المطلوب", "tokens": [3224, 2655, 5016, 9957, 5296, 15042, 6055, 30544, 29538, 2423, 39184, 34, 47525, 3224, 7251, 3794, 995, 45865, 2423, 39184, 13868, 50239, 32239, 1975, 12984, 3555, 2655, 20292, 16472, 2423, 39184, 34, 17340, 7251, 3794, 995, 45865, 9122, 15730, 12399, 3714, 19913, 3555, 2407, 9566, 22807, 21542, 9957, 2423, 39184, 34, 17340, 47525, 3224, 7251, 3794, 995, 45865, 3714, 9957, 22807, 13838, 17340, 7251, 3555, 4587, 7578, 23758, 47525, 3224, 37495, 9566, 1829, 8315, 16472, 2423, 39184, 34, 17340, 47525, 3224, 7251, 3794, 995, 45865, 363, 17340, 316, 17340, 6225, 19913, 2304, 19446, 31439, 9673, 9566, 1211, 37746], "avg_logprob": -0.2552083333333333, "compression_ratio": 1.9824561403508771, "no_speech_prob": 0.0, "words": [{"start": 1713.32, "end": 1713.88, "word": "هتحين", "probability": 0.41925048828125}, {"start": 1713.88, "end": 1714.08, "word": " لما", "probability": 0.779052734375}, {"start": 1714.08, "end": 1714.5, "word": " تكون", "probability": 0.97998046875}, {"start": 1714.5, "end": 1714.84, "word": " هذه", "probability": 0.251708984375}, {"start": 1714.84, "end": 1715.14, "word": " الـC", "probability": 0.5025227864583334}, {"start": 1715.14, "end": 1715.52, "word": " بده", "probability": 0.41485595703125}, {"start": 1715.52, "end": 1716.08, "word": " يساوي", "probability": 0.88916015625}, {"start": 1716.08, "end": 1716.9, "word": " الـAB", "probability": 0.8089192708333334}, {"start": 1716.9, "end": 1717.94, "word": " قال", "probability": 0.810546875}, {"start": 1717.94, "end": 1718.08, "word": " لي", "probability": 0.6474609375}, {"start": 1718.08, "end": 1718.54, "word": " اثبتلي", "probability": 0.82998046875}, {"start": 1718.54, "end": 1718.7, "word": " ان", "probability": 0.9208984375}, {"start": 1718.7, "end": 1719.08, "word": " الـC", "probability": 0.7840169270833334}, {"start": 1719.08, "end": 1719.5, "word": " inverse", "probability": 0.71337890625}, {"start": 1719.5, "end": 1720.1, "word": " يساوي", "probability": 0.9578857421875}, {"start": 1720.1, "end": 1720.98, "word": " كذا،", "probability": 0.7521158854166666}, {"start": 1720.98, "end": 1722.16, "word": " مظبوط؟", "probability": 0.8115234375}, {"start": 1722.16, "end": 1722.66, "word": " الحين", "probability": 0.7021484375}, {"start": 1722.66, "end": 1723.08, "word": " الـC", "probability": 0.9265950520833334}, {"start": 1723.08, "end": 1723.7, "word": " inverse", "probability": 0.90771484375}, {"start": 1723.7, "end": 1724.02, "word": " بده", "probability": 0.8857421875}, {"start": 1724.02, "end": 1724.34, "word": " يساوي", "probability": 0.9884033203125}, {"start": 1724.34, "end": 1724.88, "word": " مين؟", "probability": 0.7542317708333334}, {"start": 1724.88, "end": 1725.52, "word": " AB", "probability": 0.277587890625}, {"start": 1725.52, "end": 1726.36, "word": " inverse", "probability": 0.79296875}, {"start": 1726.36, "end": 1727.14, "word": " يبقى", "probability": 0.8597412109375}, {"start": 1727.14, "end": 1727.44, "word": " هذا", "probability": 0.8955078125}, {"start": 1727.44, "end": 1727.94, "word": " بده", "probability": 0.84326171875}, {"start": 1727.94, "end": 1728.66, "word": " يعطينا", "probability": 0.9708251953125}, {"start": 1728.66, "end": 1729.38, "word": " ان", "probability": 0.80712890625}, {"start": 1729.38, "end": 1730.12, "word": " الـC", "probability": 0.89404296875}, {"start": 1730.12, "end": 1731.04, "word": " inverse", "probability": 0.935546875}, {"start": 1731.04, "end": 1731.74, "word": " بده", "probability": 0.9248046875}, {"start": 1731.74, "end": 1732.16, "word": " يساوي", "probability": 0.988037109375}, {"start": 1732.16, "end": 1732.52, "word": " B", "probability": 0.8271484375}, {"start": 1732.52, "end": 1733.32, "word": " inverse", "probability": 0.8740234375}, {"start": 1733.32, "end": 1733.96, "word": " A", "probability": 0.6923828125}, {"start": 1733.96, "end": 1734.56, "word": " inverse", "probability": 0.8505859375}, {"start": 1734.56, "end": 1734.98, "word": " عظم", "probability": 0.7716471354166666}, {"start": 1734.98, "end": 1735.1, "word": " ما", "probability": 0.8251953125}, {"start": 1735.1, "end": 1735.26, "word": " هو", "probability": 0.98583984375}, {"start": 1735.26, "end": 1735.96, "word": " المطلوب", "probability": 0.969970703125}], "temperature": 1.0}, {"id": 79, "seek": 175633, "start": 1736.77, "end": 1756.33, "text": "إذا من الآن فصاعدا هذا السؤال ليش بيقول ليه؟ بيقول لو عندي حاصل ضرب مفصوفين A وB واختلهم الكل inverse تساوي inverse التانية في inverse الأميرة الأولى بدنا نجلبها زي ال transpose بالضبط تماما", "tokens": [28814, 15730, 9154, 6024, 48506, 6156, 9381, 995, 22488, 995, 23758, 21136, 33604, 6027, 32239, 8592, 4724, 1829, 39648, 32239, 3224, 22807, 4724, 1829, 39648, 45164, 18871, 16254, 11331, 33546, 1211, 48812, 25513, 3714, 5172, 9381, 38688, 9957, 316, 4032, 33, 4032, 47283, 2655, 1211, 16095, 2423, 28820, 17340, 6055, 3794, 995, 45865, 17340, 16712, 7649, 10632, 8978, 17340, 16247, 2304, 48923, 16247, 12610, 7578, 47525, 8315, 8717, 7435, 46152, 11296, 30767, 1829, 2423, 25167, 20666, 11242, 3555, 9566, 46811, 10943, 995], "avg_logprob": -0.36859938466405295, "compression_ratio": 1.575, "no_speech_prob": 0.0, "words": [{"start": 1736.77, "end": 1737.21, "word": "إذا", "probability": 0.53875732421875}, {"start": 1737.21, "end": 1737.53, "word": " من", "probability": 0.74853515625}, {"start": 1737.53, "end": 1738.21, "word": " الآن", "probability": 0.754150390625}, {"start": 1738.21, "end": 1739.13, "word": " فصاعدا", "probability": 0.5466796875}, {"start": 1739.13, "end": 1739.35, "word": " هذا", "probability": 0.46044921875}, {"start": 1739.35, "end": 1739.65, "word": " السؤال", "probability": 0.7472330729166666}, {"start": 1739.65, "end": 1739.85, "word": " ليش", "probability": 0.42327880859375}, {"start": 1739.85, "end": 1740.35, "word": " بيقول", "probability": 0.8180338541666666}, {"start": 1740.35, "end": 1740.97, "word": " ليه؟", "probability": 0.5453287760416666}, {"start": 1740.97, "end": 1741.29, "word": " بيقول", "probability": 0.8076171875}, {"start": 1741.29, "end": 1742.69, "word": " لو", "probability": 0.70263671875}, {"start": 1742.69, "end": 1742.99, "word": " عندي", "probability": 0.921875}, {"start": 1742.99, "end": 1743.41, "word": " حاصل", "probability": 0.8815104166666666}, {"start": 1743.41, "end": 1743.65, "word": " ضرب", "probability": 0.9208984375}, {"start": 1743.65, "end": 1744.47, "word": " مفصوفين", "probability": 0.669091796875}, {"start": 1744.47, "end": 1744.73, "word": " A", "probability": 0.546875}, {"start": 1744.73, "end": 1745.17, "word": " وB", "probability": 0.79296875}, {"start": 1745.17, "end": 1746.67, "word": " واختلهم", "probability": 0.740283203125}, {"start": 1746.67, "end": 1747.25, "word": " الكل", "probability": 0.81884765625}, {"start": 1747.25, "end": 1747.91, "word": " inverse", "probability": 0.705078125}, {"start": 1747.91, "end": 1748.71, "word": " تساوي", "probability": 0.58154296875}, {"start": 1748.71, "end": 1749.37, "word": " inverse", "probability": 0.65478515625}, {"start": 1749.37, "end": 1750.19, "word": " التانية", "probability": 0.9091796875}, {"start": 1750.19, "end": 1750.37, "word": " في", "probability": 0.8505859375}, {"start": 1750.37, "end": 1750.81, "word": " inverse", "probability": 0.8916015625}, {"start": 1750.81, "end": 1751.27, "word": " الأميرة", "probability": 0.622802734375}, {"start": 1751.27, "end": 1751.63, "word": " الأولى", "probability": 0.9939778645833334}, {"start": 1751.63, "end": 1752.03, "word": " بدنا", "probability": 0.7060546875}, {"start": 1752.03, "end": 1752.77, "word": " نجلبها", "probability": 0.9532470703125}, {"start": 1752.77, "end": 1753.49, "word": " زي", "probability": 0.956787109375}, {"start": 1753.49, "end": 1753.65, "word": " ال", "probability": 0.80078125}, {"start": 1753.65, "end": 1754.43, "word": " transpose", "probability": 0.41845703125}, {"start": 1754.43, "end": 1755.25, "word": " بالضبط", "probability": 0.91748046875}, {"start": 1755.25, "end": 1756.33, "word": " تماما", "probability": 0.9938151041666666}], "temperature": 1.0}, {"id": 80, "seek": 179678, "start": 1771.74, "end": 1796.78, "text": "هذا كان سؤال 13 من الكتاب نجي لسؤال 14 برضه نظري سؤال 14 بيقول مياتي let ال a be a non singular matrix non singular matrix show that", "tokens": [3224, 15730, 25961, 8608, 33604, 6027, 3705, 9154, 33251, 2655, 16758, 8717, 7435, 1829, 5296, 3794, 33604, 6027, 3499, 4724, 43042, 3224, 8717, 19913, 16572, 8608, 33604, 6027, 3499, 4724, 1829, 39648, 3714, 1829, 9307, 1829, 718, 2423, 257, 312, 257, 2107, 20010, 8141, 2107, 20010, 8141, 855, 300], "avg_logprob": -0.21812499821186065, "compression_ratio": 1.368421052631579, "no_speech_prob": 0.0, "words": [{"start": 1771.74, "end": 1772.14, "word": "هذا", "probability": 0.765869140625}, {"start": 1772.14, "end": 1772.46, "word": " كان", "probability": 0.83203125}, {"start": 1772.46, "end": 1772.8, "word": " سؤال", "probability": 0.9695638020833334}, {"start": 1772.8, "end": 1773.56, "word": " 13", "probability": 0.544921875}, {"start": 1773.56, "end": 1773.86, "word": " من", "probability": 0.9208984375}, {"start": 1773.86, "end": 1774.72, "word": " الكتاب", "probability": 0.98779296875}, {"start": 1774.72, "end": 1775.0, "word": " نجي", "probability": 0.4805501302083333}, {"start": 1775.0, "end": 1775.74, "word": " لسؤال", "probability": 0.8662109375}, {"start": 1775.74, "end": 1776.52, "word": " 14", "probability": 0.94140625}, {"start": 1776.52, "end": 1777.22, "word": " برضه", "probability": 0.91015625}, {"start": 1777.22, "end": 1777.78, "word": " نظري", "probability": 0.9798177083333334}, {"start": 1777.78, "end": 1779.14, "word": " سؤال", "probability": 0.9117838541666666}, {"start": 1779.14, "end": 1780.16, "word": " 14", "probability": 0.96044921875}, {"start": 1780.16, "end": 1780.7, "word": " بيقول", "probability": 0.9235026041666666}, {"start": 1780.7, "end": 1781.7, "word": " مياتي", "probability": 0.8160400390625}, {"start": 1781.7, "end": 1783.06, "word": " let", "probability": 0.56640625}, {"start": 1783.06, "end": 1783.96, "word": " ال", "probability": 0.64013671875}, {"start": 1783.96, "end": 1784.54, "word": " a", "probability": 0.375244140625}, {"start": 1784.54, "end": 1785.78, "word": " be", "probability": 0.537109375}, {"start": 1785.78, "end": 1787.3, "word": " a", "probability": 0.96923828125}, {"start": 1787.3, "end": 1788.48, "word": " non", "probability": 0.8916015625}, {"start": 1788.48, "end": 1790.28, "word": " singular", "probability": 0.63427734375}, {"start": 1790.28, "end": 1792.34, "word": " matrix", "probability": 0.951171875}, {"start": 1792.34, "end": 1794.08, "word": " non", "probability": 0.5087890625}, {"start": 1794.08, "end": 1794.56, "word": " singular", "probability": 0.91015625}, {"start": 1794.56, "end": 1795.3, "word": " matrix", "probability": 0.97314453125}, {"start": 1795.3, "end": 1796.12, "word": " show", "probability": 0.88916015625}, {"start": 1796.12, "end": 1796.78, "word": " that", "probability": 0.95654296875}], "temperature": 1.0}, {"id": 81, "seek": 180791, "start": 1797.93, "end": 1807.91, "text": "Show that أن الـ A Inverse Inverse بدي يعطيني الـ A", "tokens": [27692, 300, 14739, 2423, 39184, 316, 682, 4308, 682, 4308, 4724, 16254, 37495, 9566, 9957, 1829, 2423, 39184, 316], "avg_logprob": -0.5218749910593032, "compression_ratio": 1.0793650793650793, "no_speech_prob": 0.0, "words": [{"start": 1797.93, "end": 1798.39, "word": "Show", "probability": 0.337158203125}, {"start": 1798.39, "end": 1799.43, "word": " that", "probability": 0.6806640625}, {"start": 1799.43, "end": 1800.47, "word": " أن", "probability": 0.428955078125}, {"start": 1800.47, "end": 1800.97, "word": " الـ", "probability": 0.68798828125}, {"start": 1800.97, "end": 1801.31, "word": " A", "probability": 0.80419921875}, {"start": 1801.31, "end": 1802.61, "word": " Inverse", "probability": 0.537322998046875}, {"start": 1802.61, "end": 1803.55, "word": " Inverse", "probability": 0.81396484375}, {"start": 1803.55, "end": 1804.37, "word": " بدي", "probability": 0.57232666015625}, {"start": 1804.37, "end": 1806.65, "word": " يعطيني", "probability": 0.71954345703125}, {"start": 1806.65, "end": 1807.59, "word": " الـ", "probability": 0.61083984375}, {"start": 1807.59, "end": 1807.91, "word": " A", "probability": 0.92041015625}], "temperature": 1.0}, {"id": 82, "seek": 184491, "start": 1819.61, "end": 1844.91, "text": "نفس التكتيك اللي اتبع في السؤالين السابقين بمسك المعلومة بحاول أستفيد منها مش بيعطينا المعلومة بلاش بس نتفرج عليها لأ لأ لأ بحاول نستفيد منها إذا احنا بدنا نيجي هنا الان let ال a be a non singular matrix يبقى هذا معناه يا جماعة", "tokens": [1863, 36178, 16712, 4117, 31371, 4117, 13672, 1829, 1975, 2655, 3555, 3615, 8978, 21136, 33604, 6027, 9957, 21136, 16758, 4587, 9957, 4724, 2304, 3794, 4117, 9673, 30241, 20498, 3660, 4724, 5016, 995, 12610, 5551, 14851, 5172, 25708, 9154, 11296, 37893, 4724, 40228, 9566, 1829, 8315, 9673, 30241, 20498, 3660, 4724, 1211, 33599, 4724, 3794, 8717, 2655, 5172, 47341, 25894, 11296, 5296, 10721, 5296, 10721, 5296, 10721, 4724, 5016, 995, 12610, 8717, 14851, 5172, 25708, 9154, 11296, 11933, 15730, 1975, 5016, 8315, 47525, 8315, 8717, 1829, 7435, 1829, 34105, 2423, 7649, 718, 2423, 257, 312, 257, 2107, 20010, 8141, 7251, 3555, 4587, 7578, 23758, 20449, 8315, 3224, 35186, 10874, 15042, 27884], "avg_logprob": -0.19003377975644292, "compression_ratio": 1.808411214953271, "no_speech_prob": 0.0, "words": [{"start": 1819.61, "end": 1820.05, "word": "نفس", "probability": 0.86962890625}, {"start": 1820.05, "end": 1820.63, "word": " التكتيك", "probability": 0.7318115234375}, {"start": 1820.63, "end": 1820.75, "word": " اللي", "probability": 0.724365234375}, {"start": 1820.75, "end": 1821.09, "word": " اتبع", "probability": 0.67486572265625}, {"start": 1821.09, "end": 1821.25, "word": " في", "probability": 0.86865234375}, {"start": 1821.25, "end": 1821.85, "word": " السؤالين", "probability": 0.9805908203125}, {"start": 1821.85, "end": 1822.61, "word": " السابقين", "probability": 0.9959716796875}, {"start": 1822.61, "end": 1823.63, "word": " بمسك", "probability": 0.8582763671875}, {"start": 1823.63, "end": 1824.41, "word": " المعلومة", "probability": 0.98388671875}, {"start": 1824.41, "end": 1825.11, "word": " بحاول", "probability": 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السؤال الخامس عشر بيقول لي the matrix the matrix IN لل identity matrix is", "tokens": [2304, 19913, 3555, 2407, 9566, 8032, 4117, 15730, 22807, 7251, 3555, 4587, 7578, 19446, 3794, 2407, 11703, 1863, 33599, 1975, 8592, 1829, 16490, 1211, 33546, 8315, 7251, 3555, 4587, 7578, 5551, 12984, 3555, 2655, 8315, 14739, 20449, 4117, 41779, 32767, 3615, 4117, 41779, 9673, 9381, 5172, 38688, 3660, 4724, 40228, 9566, 1829, 8315, 9673, 9381, 5172, 38688, 3660, 309, 405, 75, 8717, 47283, 3215, 9122, 2304, 7649, 8608, 33604, 6027, 21136, 33604, 6027, 33962, 10943, 3794, 6225, 46309, 4724, 1829, 39648, 32239, 264, 8141, 264, 8141, 6892, 24976, 6575, 8141, 307], "avg_logprob": -0.2807404862149902, "compression_ratio": 1.6108108108108108, "no_speech_prob": 0.0, "words": [{"start": 2017.24, "end": 2017.84, "word": "مظبوط", "probability": 0.800390625}, {"start": 2017.84, "end": 2018.5, "word": " هكذا؟", "probability": 0.61334228515625}, {"start": 2018.5, "end": 2018.94, "word": " يبقى", "probability": 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"word": " itsel", "probability": 0.581298828125}, {"start": 2028.04, "end": 2029.48, "word": " ناخد", "probability": 0.8328450520833334}, {"start": 2029.48, "end": 2029.96, "word": " كمان", "probability": 0.810791015625}, {"start": 2029.96, "end": 2030.62, "word": " سؤال", "probability": 0.96484375}, {"start": 2030.62, "end": 2031.16, "word": " السؤال", "probability": 0.8984375}, {"start": 2031.16, "end": 2031.84, "word": " الخامس", "probability": 0.95947265625}, {"start": 2031.84, "end": 2032.44, "word": " عشر", "probability": 0.966064453125}, {"start": 2032.44, "end": 2034.66, "word": " بيقول", "probability": 0.94677734375}, {"start": 2034.66, "end": 2035.0, "word": " لي", "probability": 0.5361328125}, {"start": 2035.0, "end": 2035.54, "word": " the", "probability": 0.38427734375}, {"start": 2035.54, "end": 2036.48, "word": " matrix", "probability": 0.95947265625}, {"start": 2036.48, "end": 2038.12, "word": " the", "probability": 0.37060546875}, {"start": 2038.12, "end": 2039.64, "word": " matrix", "probability": 0.966796875}, {"start": 2039.64, "end": 2043.16, "word": " IN", "probability": 0.187255859375}, {"start": 2043.16, "end": 2043.72, "word": " لل", "probability": 0.7666015625}, {"start": 2043.72, "end": 2044.28, "word": " identity", "probability": 0.8642578125}, {"start": 2044.28, "end": 2045.12, "word": " matrix", "probability": 0.97216796875}, {"start": 2045.12, "end": 2046.28, "word": " is", "probability": 0.9306640625}], "temperature": 1.0}, {"id": 91, "seek": 207366, "start": 2048.0, "end": 2073.66, "text": "its is its own inverse يعني هي معكوس لنفسها since ليش؟ لأن ال identity matrix لما نضربها في ال identity matrix بيطلع من عندنا ال identity matrix المطلوب الأول من السؤال find", "tokens": [1208, 307, 1080, 1065, 17340, 37495, 22653, 39896, 20449, 4117, 41779, 5296, 1863, 36178, 11296, 1670, 32239, 8592, 22807, 5296, 33456, 2423, 6575, 8141, 5296, 15042, 8717, 11242, 25513, 11296, 8978, 2423, 6575, 8141, 4724, 1829, 9566, 1211, 3615, 9154, 43242, 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"probability": 0.8931640625}, {"start": 2066.84, "end": 2067.04, "word": " من", "probability": 0.55029296875}, {"start": 2067.04, "end": 2067.68, "word": " عندنا", "probability": 0.996337890625}, {"start": 2067.68, "end": 2068.52, "word": " ال", "probability": 0.962890625}, {"start": 2068.52, "end": 2069.24, "word": " identity", "probability": 0.91064453125}, {"start": 2069.24, "end": 2069.84, "word": " matrix", "probability": 0.94482421875}, {"start": 2069.84, "end": 2070.54, "word": " المطلوب", "probability": 0.953857421875}, {"start": 2070.54, "end": 2071.1, "word": " الأول", "probability": 0.974609375}, {"start": 2071.1, "end": 2071.4, "word": " من", "probability": 0.9921875}, {"start": 2071.4, "end": 2072.24, "word": " السؤال", "probability": 0.9930013020833334}, {"start": 2072.24, "end": 2073.66, "word": " find", "probability": 0.83740234375}], "temperature": 1.0}, {"id": 92, "seek": 210405, "start": 2075.47, "end": 2104.05, "text": "at least على الأقل to second order to second order matrices matrices other than I N", "tokens": [267, 1935, 15844, 16247, 4587, 1211, 281, 1150, 1668, 281, 1150, 1668, 32284, 32284, 661, 813, 286, 426], "avg_logprob": -0.26212994362178604, "compression_ratio": 1.2133333333333334, "no_speech_prob": 0.0, "words": [{"start": 2075.47, "end": 2075.95, "word": "at", "probability": 0.765625}, {"start": 2075.95, "end": 2076.83, "word": " least", "probability": 0.95947265625}, {"start": 2076.83, "end": 2077.99, "word": " على", "probability": 0.65966796875}, {"start": 2077.99, "end": 2079.47, "word": " الأقل", "probability": 0.9798177083333334}, {"start": 2079.47, "end": 2081.69, "word": " to", "probability": 0.65380859375}, {"start": 2081.69, "end": 2085.29, "word": " second", "probability": 0.7099609375}, {"start": 2085.29, "end": 2088.83, "word": " order", "probability": 0.935546875}, {"start": 2088.83, "end": 2090.69, "word": " to", "probability": 0.4609375}, {"start": 2090.69, "end": 2091.43, "word": " second", "probability": 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2140.26, "word": " أو", "probability": 0.82373046875}, {"start": 2140.26, "end": 2141.18, "word": " ناقص", "probability": 0.986328125}, {"start": 2141.18, "end": 2141.86, "word": " واحد", "probability": 0.930419921875}], "temperature": 1.0}, {"id": 95, "seek": 219763, "start": 2170.49, "end": 2197.63, "text": "نرجع لسؤالنا مرة ثانية السؤال ذو شقين نقرأ السؤال كويس و بعد هي كده تعالي يا بنت، يا بنت تعالي تعالي تعالي بقول طلعت كلمة جوال، مش هيك؟ بتاخدي كتبك وصلي تعودي على المحاضرة أبدا، يا بتقعدي وانسي حكاية الجوال أنا من أول محاضرة قلتك يا جوال يا محاضرة", "tokens": [1863, 47341, 3615, 5296, 3794, 33604, 6027, 8315, 3714, 25720, 38637, 7649, 10632, 21136, 33604, 6027, 29910, 2407, 13412, 4587, 9957, 8717, 4587, 2288, 10721, 21136, 33604, 6027, 9122, 45865, 3794, 4032, 39182, 39896, 9122, 3215, 3224, 37279, 6027, 1829, 35186, 4724, 29399, 12399, 35186, 4724, 29399, 37279, 6027, 1829, 37279, 6027, 1829, 37279, 6027, 1829, 4724, 39648, 23032, 1211, 34268, 9122, 19528, 3660, 10874, 2407, 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2403.15, "end": 2403.31, "word": " في", "probability": 0.986328125}, {"start": 2403.31, "end": 2403.87, "word": " العمود", "probability": 0.9827473958333334}, {"start": 2403.87, "end": 2404.57, "word": " التاني", "probability": 0.88330078125}, {"start": 2404.57, "end": 2405.45, "word": " بزيرو", "probability": 0.6800537109375}, {"start": 2405.45, "end": 2406.47, "word": " الصف", "probability": 0.96630859375}, {"start": 2406.47, "end": 2407.17, "word": " التاني", "probability": 0.9306640625}, {"start": 2407.17, "end": 2407.35, "word": " في", "probability": 0.990234375}, {"start": 2407.35, "end": 2407.93, "word": " العمود", "probability": 0.9864908854166666}, {"start": 2407.93, "end": 2408.41, "word": " الأول", "probability": 0.949951171875}, {"start": 2408.41, "end": 2409.13, "word": " بزيرو", "probability": 0.9326171875}, {"start": 2409.13, "end": 2410.09, "word": " الصف", "probability": 0.979248046875}, {"start": 2410.09, "end": 2410.67, "word": " التاني", "probability": 0.9778645833333334}, {"start": 2410.67, "end": 2410.81, "word": " في", "probability": 0.99072265625}, {"start": 2410.81, "end": 2411.35, "word": " العمود", "probability": 0.9876302083333334}, {"start": 2411.35, "end": 2411.91, "word": " الثاني", "probability": 0.8626708984375}, {"start": 2411.91, "end": 2413.23, "word": " بواحد", "probability": 0.93896484375}], "temperature": 1.0}, {"id": 104, "seek": 244005, "start": 2413.51, "end": 2440.05, "text": "اللي هي الـ identity matrix اللي عندنا يبقى هيجيبنا لهياش مصفوفة اتنين هذا بنفعله التلاتة اه بنفعله الأربعة الخمسة اذا بقوله in general يبقى باجي بقوله in general for any real number", "tokens": [6027, 20292, 39896, 2423, 39184, 6575, 8141, 13672, 1829, 43242, 8315, 7251, 3555, 4587, 7578, 39896, 7435, 1829, 3555, 8315, 46740, 1829, 33599, 3714, 9381, 5172, 38688, 3660, 1975, 2655, 1863, 9957, 23758, 44945, 5172, 30241, 3224, 16712, 1211, 9307, 3660, 1975, 3224, 44945, 5172, 30241, 3224, 16247, 25513, 27884, 33962, 2304, 3794, 3660, 1975, 15730, 4724, 39648, 3224, 294, 2674, 7251, 3555, 4587, 7578, 4724, 26108, 1829, 4724, 39648, 3224, 294, 2674, 337, 604, 957, 1230], "avg_logprob": -0.31049678455560636, "compression_ratio": 1.6379310344827587, "no_speech_prob": 0.0, "words": [{"start": 2413.51, "end": 2413.85, "word": "اللي", "probability": 0.36431884765625}, {"start": 2413.85, "end": 2414.07, "word": " هي", "probability": 0.91455078125}, {"start": 2414.07, "end": 2414.11, "word": " الـ", "probability": 0.4517822265625}, {"start": 2414.11, "end": 2415.91, "word": " identity", "probability": 0.37451171875}, {"start": 2415.91, "end": 2417.23, "word": " matrix", "probability": 0.9638671875}, {"start": 2417.23, "end": 2417.53, "word": " اللي", "probability": 0.5557861328125}, {"start": 2417.53, "end": 2418.11, "word": " عندنا", "probability": 0.869384765625}, {"start": 2418.11, "end": 2419.25, "word": " يبقى", "probability": 0.897705078125}, {"start": 2419.25, "end": 2419.75, "word": " هيجيبنا", "probability": 0.68935546875}, {"start": 2419.75, "end": 2420.25, "word": " لهياش", "probability": 0.45166015625}, {"start": 2420.25, "end": 2420.97, "word": " مصفوفة", "probability": 0.827099609375}, {"start": 2420.97, "end": 2421.93, "word": " اتنين", "probability": 0.81561279296875}, {"start": 2421.93, "end": 2422.21, "word": " هذا", "probability": 0.67724609375}, {"start": 2422.21, "end": 2422.75, "word": " بنفعله", "probability": 0.714599609375}, {"start": 2422.75, "end": 2423.41, "word": " التلاتة", "probability": 0.8634033203125}, {"start": 2423.41, "end": 2423.95, "word": " اه", "probability": 0.5479736328125}, {"start": 2423.95, "end": 2424.21, "word": " بنفعله", "probability": 0.88525390625}, {"start": 2424.21, "end": 2425.01, "word": " الأربعة", "probability": 0.7802734375}, {"start": 2425.01, "end": 2425.81, "word": " الخمسة", "probability": 0.80712890625}, {"start": 2425.81, "end": 2426.03, "word": " اذا", "probability": 0.731689453125}, {"start": 2426.03, "end": 2426.69, "word": " بقوله", "probability": 0.9332682291666666}, {"start": 2426.69, "end": 2427.17, "word": " in", "probability": 0.9169921875}, {"start": 2427.17, "end": 2428.37, "word": " general", "probability": 0.90771484375}, {"start": 2428.37, "end": 2429.93, "word": " يبقى", "probability": 0.8917236328125}, {"start": 2429.93, "end": 2430.35, "word": " باجي", "probability": 0.82275390625}, {"start": 2430.35, "end": 2431.15, "word": " بقوله", "probability": 0.9671223958333334}, {"start": 2431.15, "end": 2431.65, "word": " in", "probability": 0.9326171875}, {"start": 2431.65, "end": 2432.89, "word": " general", "probability": 0.90478515625}, {"start": 2432.89, "end": 2435.27, "word": " for", "probability": 0.9111328125}, {"start": 2435.27, "end": 2436.51, "word": " any", "probability": 0.927734375}, {"start": 2436.51, "end": 2437.89, "word": " real", "probability": 0.95556640625}, {"start": 2437.89, "end": 2440.05, "word": " number", "probability": 0.9677734375}], "temperature": 1.0}, {"id": 105, "seek": 246832, "start": 2441.66, "end": 2468.32, "text": "مثلًا K for any real number K we have يبقى لو جيت قلت Zero K واحد على K Zero في Zero K واحد على K Zero يبقى الناتج واحد زيرو زيرو واحد", "tokens": [2304, 12984, 1211, 14111, 995, 591, 337, 604, 957, 1230, 591, 321, 362, 7251, 3555, 4587, 7578, 45164, 10874, 36081, 12174, 1211, 2655, 17182, 591, 36764, 24401, 15844, 591, 17182, 8978, 17182, 591, 36764, 24401, 15844, 591, 17182, 7251, 3555, 4587, 7578, 2423, 8315, 2655, 7435, 36764, 24401, 30767, 13546, 2407, 30767, 13546, 2407, 36764, 24401], "avg_logprob": -0.29769736005548847, "compression_ratio": 1.496124031007752, "no_speech_prob": 0.0, "words": [{"start": 2441.66, "end": 2442.48, "word": "مثلًا", "probability": 0.75419921875}, {"start": 2442.48, "end": 2443.08, "word": " K", "probability": 0.12744140625}, {"start": 2443.08, "end": 2446.5, "word": " for", "probability": 0.22802734375}, {"start": 2446.5, "end": 2446.88, "word": " any", "probability": 0.89404296875}, {"start": 2446.88, "end": 2447.16, "word": " real", "probability": 0.88818359375}, {"start": 2447.16, "end": 2447.62, "word": " number", "probability": 0.97314453125}, {"start": 2447.62, "end": 2448.1, "word": " K", "probability": 0.58154296875}, {"start": 2448.1, "end": 2448.72, "word": " we", "probability": 0.276123046875}, {"start": 2448.72, "end": 2449.34, "word": " have", "probability": 0.951171875}, {"start": 2449.34, "end": 2452.08, "word": " يبقى", "probability": 0.83990478515625}, {"start": 2452.08, "end": 2452.3, "word": " لو", "probability": 0.7958984375}, {"start": 2452.3, "end": 2452.62, "word": " جيت", "probability": 0.766357421875}, {"start": 2452.62, "end": 2453.26, "word": " قلت", "probability": 0.8317057291666666}, {"start": 2453.26, "end": 2454.14, "word": " Zero", "probability": 0.338134765625}, {"start": 2454.14, "end": 2454.92, "word": " K", "probability": 0.90673828125}, {"start": 2454.92, "end": 2456.36, "word": " واحد", "probability": 0.9052734375}, {"start": 2456.36, "end": 2456.96, "word": " على", "probability": 0.56494140625}, {"start": 2456.96, "end": 2457.62, "word": " K", "probability": 0.5556640625}, {"start": 2457.62, "end": 2458.84, "word": " Zero", "probability": 0.68505859375}, {"start": 2458.84, "end": 2459.6, "word": " في", "probability": 0.9384765625}, {"start": 2459.6, "end": 2460.86, "word": " Zero", "probability": 0.91943359375}, {"start": 2460.86, "end": 2461.52, "word": " K", "probability": 0.9775390625}, {"start": 2461.52, "end": 2462.58, "word": " واحد", "probability": 0.945556640625}, {"start": 2462.58, "end": 2462.96, "word": " على", "probability": 0.82421875}, {"start": 2462.96, "end": 2463.54, "word": " K", "probability": 0.9404296875}, {"start": 2463.54, "end": 2464.54, "word": " Zero", "probability": 0.958984375}, {"start": 2464.54, "end": 2465.3, "word": " يبقى", "probability": 0.980712890625}, {"start": 2465.3, "end": 2465.92, "word": " الناتج", "probability": 0.733642578125}, {"start": 2465.92, "end": 2466.58, "word": " واحد", "probability": 0.799072265625}, {"start": 2466.58, "end": 2467.2, "word": " زيرو", "probability": 0.7586263020833334}, {"start": 2467.2, "end": 2467.86, "word": " زيرو", "probability": 0.93115234375}, {"start": 2467.86, "end": 2468.32, "word": " واحد", "probability": 0.945068359375}], "temperature": 1.0}, {"id": 106, "seek": 248667, "start": 2469.11, "end": 2486.67, "text": "يبقى جبتله مش مصففتين، جبتله مليارات المصففات، شيل كده و حط أي رقم عدى الـ0، يبقى ايش قولت ان انا ساوي الـ0 for any real number كده، لا يساوي الـ0، ضروري مايساويش ان انا ساوي الـ0، بصي كلامنا مش صحيح", "tokens": [1829, 3555, 4587, 7578, 10874, 3555, 2655, 43761, 37893, 3714, 9381, 5172, 5172, 2655, 9957, 12399, 10874, 3555, 2655, 43761, 3714, 20292, 9640, 9307, 9673, 9381, 5172, 5172, 9307, 12399, 13412, 26895, 9122, 3215, 3224, 4032, 11331, 9566, 36632, 12602, 4587, 2304, 6225, 3215, 7578, 2423, 39184, 15, 12399, 7251, 3555, 4587, 7578, 1975, 1829, 8592, 12174, 12610, 2655, 16472, 1975, 8315, 8608, 995, 45865, 2423, 39184, 15, 337, 604, 957, 1230, 9122, 3215, 3224, 12399, 20193, 7251, 3794, 995, 45865, 2423, 39184, 15, 12399, 48812, 2288, 13063, 1829, 19446, 1829, 3794, 995, 45865, 8592, 16472, 1975, 8315, 8608, 995, 45865, 2423, 39184, 15, 12399, 4724, 9381, 1829, 28242, 10943, 8315, 37893, 20328, 5016, 1829, 5016], "avg_logprob": -0.3453525753102751, "compression_ratio": 1.7474226804123711, "no_speech_prob": 0.0, "words": [{"start": 2469.11, "end": 2469.53, "word": "يبقى", "probability": 0.658935546875}, {"start": 2469.53, "end": 2469.85, "word": " جبتله", "probability": 0.468292236328125}, {"start": 2469.85, "end": 2470.05, "word": " مش", "probability": 0.88623046875}, {"start": 2470.05, "end": 2471.01, "word": " مصففتين،", "probability": 0.7051478794642857}, {"start": 2471.01, "end": 2471.63, "word": " جبتله", "probability": 0.939453125}, {"start": 2471.63, "end": 2472.57, "word": " مليارات", "probability": 0.989990234375}, {"start": 2472.57, "end": 2473.79, "word": " المصففات،", "probability": 0.88720703125}, {"start": 2473.79, "end": 2474.17, "word": " شيل", "probability": 0.728759765625}, {"start": 2474.17, "end": 2474.47, "word": " كده", "probability": 0.7775065104166666}, {"start": 2474.47, "end": 2474.57, "word": " و", "probability": 0.92431640625}, {"start": 2474.57, "end": 2474.91, "word": " حط", "probability": 0.69189453125}, {"start": 2474.91, "end": 2475.11, "word": " أي", "probability": 0.81103515625}, {"start": 2475.11, "end": 2475.55, "word": " رقم", "probability": 0.9930013020833334}, {"start": 2475.55, "end": 2476.05, "word": " عدى", "probability": 0.5110677083333334}, {"start": 2476.05, "end": 2477.01, "word": " الـ0،", "probability": 0.53857421875}, {"start": 2477.01, "end": 2477.81, "word": " يبقى", "probability": 0.8648681640625}, {"start": 2477.81, "end": 2477.93, "word": " ايش", "probability": 0.5968424479166666}, {"start": 2477.93, "end": 2478.21, "word": " قولت", "probability": 0.4563802083333333}, {"start": 2478.21, "end": 2478.31, "word": " ان", "probability": 0.2349853515625}, {"start": 2478.31, "end": 2478.39, "word": " انا", "probability": 0.726318359375}, {"start": 2478.39, "end": 2478.55, "word": " ساوي", "probability": 0.6180013020833334}, {"start": 2478.55, "end": 2478.71, "word": " الـ0", "probability": 0.42041015625}, {"start": 2478.71, "end": 2478.93, "word": " for", "probability": 0.84033203125}, {"start": 2478.93, "end": 2479.41, "word": " any", "probability": 0.9072265625}, {"start": 2479.41, "end": 2479.87, "word": " real", "probability": 0.78076171875}, {"start": 2479.87, "end": 2480.47, "word": " number", "probability": 0.98193359375}, {"start": 2480.47, "end": 2481.19, "word": " كده،", "probability": 0.697265625}, {"start": 2481.19, "end": 2481.67, "word": " لا", "probability": 0.4560546875}, {"start": 2481.67, "end": 2482.57, "word": " يساوي", "probability": 0.8553466796875}, {"start": 2482.57, "end": 2483.65, "word": " الـ0،", "probability": 0.914306640625}, {"start": 2483.65, "end": 2484.09, "word": " ضروري", "probability": 0.96533203125}, {"start": 2484.09, "end": 2484.63, "word": " مايساويش", "probability": 0.8143717447916666}, {"start": 2484.63, "end": 2484.77, "word": " ان", "probability": 0.6201171875}, {"start": 2484.77, "end": 2484.89, "word": " انا", "probability": 0.787353515625}, {"start": 2484.89, "end": 2485.13, "word": " ساوي", "probability": 0.8367513020833334}, {"start": 2485.13, "end": 2485.55, "word": " الـ0،", "probability": 0.9215087890625}, {"start": 2485.55, "end": 2485.69, "word": " بصي", "probability": 0.662353515625}, {"start": 2485.69, "end": 2486.07, "word": " كلامنا", "probability": 0.9036458333333334}, {"start": 2486.07, "end": 2486.21, "word": " مش", "probability": 0.9873046875}, {"start": 2486.21, "end": 2486.67, "word": " صحيح", "probability": 0.9410400390625}], "temperature": 1.0}, {"id": 107, "seek": 251302, "start": 2487.24, "end": 2513.02, "text": "يبقى بالناشي يساوي zero يبقى بصير كلامنا يعني استبعد السفر وحطي موجة بسالب اللي بدك إياه يبقى بصير كلامنا هذا ما قاله صح على طول اللي هو المطلوب الأول من المسألة المطلوب الثاني بيقول لو كان ال A في ال A بده يساوي ال A inverse بيبين لي أن ال determinant لل A بده يساوي واحد وكأنه بيقول", "tokens": [1829, 3555, 4587, 7578, 20666, 1863, 33599, 1829, 7251, 3794, 995, 45865, 4018, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 28242, 10943, 8315, 37495, 22653, 44713, 3555, 22488, 21136, 5172, 2288, 4032, 5016, 9566, 1829, 3714, 29245, 3660, 4724, 3794, 6027, 3555, 13672, 1829, 47525, 4117, 11933, 25528, 3224, 7251, 3555, 4587, 7578, 4724, 9381, 13546, 28242, 10943, 8315, 23758, 19446, 50239, 3224, 20328, 5016, 15844, 23032, 12610, 13672, 1829, 31439, 9673, 9566, 1211, 37746, 16247, 12610, 9154, 9673, 3794, 10721, 37977, 9673, 9566, 1211, 37746, 6024, 104, 7649, 1829, 4724, 1829, 39648, 45164, 25961, 2423, 316, 8978, 2423, 316, 47525, 3224, 7251, 3794, 995, 45865, 2423, 316, 17340, 4724, 1829, 3555, 9957, 32239, 14739, 2423, 41296, 24976, 316, 47525, 3224, 7251, 3794, 995, 45865, 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"end": 2575.73, "text": "الـ Identity Matrix يبقى بيصير عندي الـ determinant للـ A في الـ A بده يساوي ال determinant لمصفوفة الوحدة I حسب خواص ال determinant يبقى هذا determinant للـ A", "tokens": [6027, 39184, 25905, 507, 36274, 7251, 3555, 4587, 7578, 4724, 1829, 9381, 13546, 18871, 16254, 2423, 39184, 41296, 24976, 39184, 316, 8978, 2423, 39184, 316, 47525, 3224, 7251, 3794, 995, 45865, 2423, 41296, 32767, 9381, 5172, 38688, 3660, 2423, 2407, 24401, 3660, 286, 11331, 35457, 16490, 14407, 9381, 2423, 41296, 7251, 3555, 4587, 7578, 23758, 41296, 24976, 39184, 316], "avg_logprob": -0.41796875447034837, "compression_ratio": 1.5724137931034483, "no_speech_prob": 0.0, "words": [{"start": 2554.87, "end": 2555.27, "word": "الـ", "probability": 0.41961669921875}, {"start": 2555.27, "end": 2556.09, "word": " Identity", "probability": 0.83740234375}, {"start": 2556.09, "end": 2556.47, "word": " Matrix", "probability": 0.472900390625}, {"start": 2556.47, "end": 2559.87, "word": " يبقى", 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